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Simplifying 8(-3x + 1) = -23(x + 1) Reorder the terms: 8(1 + -3x) = -23(x + 1) (1 * 8 + -3x * 8) = -23(x + 1) (8 + -24x) = -23(x + 1) Reorder the terms: 8 + -24x = -23(1 + x) 8 + -24x = (1 * -23 + x * -23) 8 + -24x = (-23 + -23x) Solving 8 + -24x = -23 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 8 + -24x + 23x = -23 + -23x + 23x Combine like terms: -24x + 23x = -1x 8 + -1x = -23 + -23x + 23x Combine like terms: -23x + 23x = 0 8 + -1x = -23 + 0 8 + -1x = -23 Add '-8' to each side of the equation. 8 + -8 + -1x = -23 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -23 + -8 -1x = -23 + -8 Combine like terms: -23 + -8 = -31 -1x = -31 Divide each side by '-1'. x = 31 Simplifying x = 31
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